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Hadley Centre Technical Note 96 Disaggregation of daily data in JULES July 23, 2014 Karina Williams, Met Office, and Douglas Clark, Centre for Ecology and Hydrology

Hadley Centre Technical Note 96 ... · Hadley Centre Technical Note 96 DisaggregationofdailydatainJULES ... and Douglas Clark, Centre for Ecology and Hydrology. ... This report documents

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  • Hadley Centre Technical Note 96Disaggregation of daily data in JULES

    July 23, 2014

    Karina Williams, Met Office, and Douglas Clark, Centre for Ecologyand Hydrology

  • 1 Introduction

    The Joint UK Land Environment System (JULES) [Best et al., 2011, Clark et al., 2011] is a com-

    munity land surface model that can be used both online as part of the Met Office Unified Modelling

    system and offline for impacts studies. It has been designed to run at short time scales, in order to

    exchange heat, momentum and moisture fluxes with an atmospheric model at model timesteps.

    When run in offline mode, the meteorological data used to drive JULES is read from input files.

    This forcing data is often only available at a temporal resolution of three hours or coarser, due

    to the practical considerations in storing such a large amount of atmospheric model data and the

    difficulties of obtaining observational data at this resolution. JULES has been shown to be sensitive

    to the temporal resolution of the forcing data (e.g. Compton and Best [2011]).

    In some cases, particularly for projects involving model intercomparisons (e.g. the Inter-Sectoral

    Impact Model Inter- comparison Project (ISI-MIP) [Warszawski et al., 2013] and EUPORIAS [Hewitt

    et al., 2013]), forcing data is only available at daily resolution. The absence of a diurnal cycle

    for temperature and radiation and any sort of sub-daily structure for precipitation makes this data

    completely unsuitable for forcing JULES directly. It is therefore necessary to perform some sort

    of data disaggregation. To date, two main approaches have been used to disaggregate daily data

    into sub-daily data for JULES: the WATCH [Weedon et al., 2011] approach, developed as part of

    the EU-funded Water and Global Change programme, and the IMOGEN approach, used in the

    IMOGEN modelling system [Huntingford et al., 2010] and the JULES runs for the ISI-MIP project

    [Davie et al., 2013, Dankers et al., 2013]. The WATCH project published standalone fortran routines

    to perform the disaggregation, whereas, in IMOGEN, the disaggregation is performed internally,

    as the IMOGEN configuration of JULES is running. These approaches differ significantly in their

    treatment of precipitation, with the WATCH disaggregator using a multiplicative cascade model to

    distribute the precipitation and the IMOGEN approach modelling the days precipitation as arising

    from one event of constant intensity and globally specified duration.

    In JULES 4.0, the IMOGEN approach to disaggregation is made available in the JULES trunk

    for standard (i.e. non-IMOGEN) runs. This report documents the method used and illustrates the

    dependence on the value of the convective rain duration parameter chosen by the user, using a

    development branch based on adding the disaggregation code to a branch of JULES 3.4.1, which

    has been merged with the JULES trunk.

    2 Disaggregation method

    In JULES 4.0, disaggregation of daily forcing data to JULES model timesteps (typically of the order

    of 30 minutes) can be switched on using the l_daily_disagg flag (see the JULES 4.0 manual for

    more details of the user interface). When this flag is set to True, the daily forcing data is disaggre-

    gated to model timesteps, which involves imposing a diurnal cycle on temperature and radiation and

    c Crown Copyright 2014 1

  • allocating the precipitation to a continuous series of model timesteps within the day. The pressure

    P and wind values are unchanged by the disaggregation code and the specific humidity is kept

    below the specific humidity at saturation. Any interpolation (specified by interp in JULES DRIVE)

    is performed within JULES before the disaggregation code is called. The disaggregation of each

    variable is described in more detail in the following sections. The forcing variables required when

    l_daily_disagg=T are the same as those needed when l_daily_disagg=F, plus the temperature

    range for each grid box for each day.

    2.1 Temperature

    A diurnal cycle is imposed on the near-surface air temperature using the relation

    T = T0 +T

    2

    cos(2 (t tT

    max

    ) /t

    day

    ), (1)

    where T0 and T are the temperature and diurnal temperature ranges before disaggregation

    respectively. tday

    is the length of a day. tT

    max

    is the time of day where the temperature is highest

    and is calculated with the IMOGEN routine sunny, which assumes that tT

    max

    occurs 0.15 of a

    daylength after local noon i.e.

    t

    T

    max

    =

    t

    up

    + t

    down

    2

    + 0.15 (t

    up

    tdown

    ) (2)

    where tup

    and tdown

    are sunrise and sunset times.

    2.2 Specific humidity

    The disaggregator code also ensures that the specific humidity q does not go above the specific

    humidity at saturation qsat

    (T, P ), as calculated by the subroutine qsat i.e.

    q = min(q, q

    sat

    (T, P )). (3)

    Note that this condition does not conserve water 1.

    2.3 Radiation

    The diurnal cycle imposed on the downward longwave radiation is a function of temperature, as

    in Huntingford et al. [2010], derived assuming black body radiation and that the diurnal cycle of

    temperature is a small perturbation,

    R

    down

    lw

    = R

    down

    lw,0

    4

    T

    T0 3

    , (4)

    1After the model runs for this report were carried out, an extra option was added which keeps the relative humidityconstant - see the manual for more information.

    c Crown Copyright 2014 2

  • where Rdownlw,0 is the downward longwave radiation before disaggregation and Rdownlw is the down-

    ward longwave radiation after disaggregation.

    The downward shortwave radiation is found by

    R

    down

    sw

    = R

    0,downsw

    R

    norm

    (5)

    where Rnorm

    is the solar radiation normalisation factor, calculated by the IMOGEN routine sunny,

    using the position of the sun in the sky at each timestep for each gridbox. Rdownsw,0 and Rdownsw are the

    downward shortwave radiation before and after disaggregation, respectively.

    In a general run of JULES, the diffuse radiation can be given explicitly in the forcing data (this is

    not the case for IMOGEN runs). A diurnal cycle is imposed on this diffuse radiation using

    R

    diff

    = R

    0diff

    R

    norm

    (6)

    2.4 Precipitation

    The IMOGEN method of disaggregating the precipitation has two components:

    The entire days precipitation of each type is first restricted to one event, of duration x

    for

    x = convective rain, large-scale rain, convective snow and large-scale snow respectively (in

    seconds). The start of the precipitation event is distributed randomly throughout the time

    period between the beginning of the day (in UTC) and x

    before the end of the day.

    If the rate of precipitation in a timestep exceeds a maximum precipitation rate (hardwired in as

    350 mm/day), then the precipitation is redistributed using the IMOGEN routine redis, which

    moves the excess precipitation to dry timesteps immediately before or after the sequence of

    wet timesteps, thus lengthening the event beyond x

    . This step was included in IMOGEN

    because it was found that very high precipitation rates caused numerical issues for the Met

    Office Surface Exchange Scheme (MOSES) Essery et al. [2001], which evolved into JULES

    (for more details, see code comment in src/imogenday calc.F90).

    The mean diurnal cycle produced by this method is not a constant. Since rain events are not

    allowed to begin in one day and finish in the subsequent day, the timesteps near the beginning and

    end of the day (as defined by the time used internally in JULES, not by local time) will be wet less

    often than timesteps in rest of the day. This is illustrated in Figure 1, which shows the mean diurnal

    cycle for 100,000 days of precipitation for a range of event durations.

    There are four options for precipitation disaggregation in JULES 4.0, specified by the value of

    the precip disagg method flag:

    1. a constant value of precipitation rate is used for the entire day

    2. the IMOGEN method

    c Crown Copyright 2014 3

  • Figure 1: The diurnal cycle of simulated precipitation rate for 100,000 days, each with a mean dailyprecipitation rate normalised to one. The precipitation for each day has been disaggregated into 72timesteps i.e the timestep length is 20 minutes. The legend shows the precipitation event durationin hours.

    3. as for the IMOGEN method except precipitation does not get redistributed when the rate ex-

    ceeds max precip rate

    4. a proportion x

    /t

    day

    of the timesteps in the day are randomly selected to be wet, and the

    precipitation is distributed uniformly among them (tday

    is the length of a day in seconds). This

    enforces a flat diurnal cycle of precipitation.

    Global values of the precipitation event durations (x

    ) are set by the user (in JULES DRIVE). The

    default values are conv rain

    = 6 3600 seconds, ls rain

    =

    ls snow

    = 1 3600 seconds. These have

    been taken from the defaults in IMOGEN at JULES 3.4.1. For ISI-MIP, conv rain

    = 2 3600 seconds,

    ls rain

    =

    ls snow

    = 5 3600 seconds, chosen to be physically reasonable. Convective snow was

    not given as input in IMOGEN or ISI-MIP. The duration of convective snow events has a default in

    JULES 4.0 of conv rain

    = 1 3600 seconds.

    3 Experimental setup

    The performance of this disaggregation method was investigated using output from a global vn8.3

    Met Office Unified Model (UM) run in the Global Atmosphere 4.0 (GA4.0) configuration [Walters

    et al., 2013] at a model timestep of 20 minutes as forcing data for an offline run of a branch of

    JULES 3.4.1 which had the disaggregation code added. This branch was merged with the JULES

    trunk before the release of JULES 4.0. The longwave radiation was pre-processed by copying the

    data value at the first timestep of each hour into the second and third timesteps of that hour, in order

    to eliminate errors that had been introduced by requiring model output at a higher resolution than

    the radiation timestep. The JULES namelists for the offline runs were based on the GL4.0 JULES

    configuration namelists, edited to be consistent with the UM run, including use of the same ancillary

    c Crown Copyright 2014 4

  • files.

    The results from comparing an offline JULES run driven by this 20 minute forcing data was

    compared to the results when JULES was driven by daily means of this forcing data, which are

    disaggregated internally using precip disagg method = 3 (i.e. similar to IMOGEN method but with

    no maximum precipitation rate being enforced) and the diurnal temperature range and a range of

    convective rain event durations conv rain

    . For comparison, an additional run was done with three

    hourly driving data with interpolation (interp = f).

    4 Results

    4.1 Diurnal cycle

    Fig 2 illustrates the mean diurnal cycle imposed by the disaggregator on the driving data, averaged

    over a year of the run (1984), as compared to the diurnal cycle of the model, using the Manaus

    FLUXNET site in Brazil as an example (see Appendix for a selection of other FLUXNET sites). As

    shown by Eq. 1 and Eq. 2, the disaggregator imposes a sinusoidal diurnal cycle on the temperature,

    which in general works reasonably well for the middle of the day but has a minimum earlier than the

    original 20 minute driving data; in the example of the Manaus site, this mimimum occurs four hours

    too early. The mean short wave diurnal profile is captured well by the disaggregator. However, the

    long wave diurnal profile of the original 20 minute forcing data has a much smaller amplitude than

    produced by the disaggregator using Eq. 4, and, as was the case for the temperature, the amount

    of time between the minimum and the following maximum in the original 20 minute driving data is

    less than would be expected if the diurnal cycle followed a sine curve. As stated in Section 1, no

    diurnal cycle is imposed on wind or pressure by the disaggregator. The specific humidity diurnal

    cycle is also not well matched by the disaggregator.

    The convective rainfall produced by the disaggregator at the Manaus site is a good example of

    the limitations of the precipitation disaggregation method. Fig 2 shows disaggregated convective

    rainfall with a default event duration of 6 hours. In the original 20 minute driving data, there is a clear

    diurnal cycle. This is not reproduced at all in the disaggregated convective rainfall, which instead

    tends to roughly a trapezoidal pulse, with minimum at midnight UTC, as discussed in Section 2.

    Similarly, large-scale rainfall in the original 20 minute driving data has a diurnal cycle which is not

    well described by the disaggregator, using the default large-scale rain event duration value of one

    hour. If data from more years were included in this plot, the diurnal profile of the disaggregated

    large-scale rainfall between 01:00 UTC and 23:00 UTC would tend towards a flat line.

    In addition to plotting the mean diurnal cycle, it would also be useful to investigate how well the

    variability is captured by the disaggregator. For example, short wave radiation would have variability

    introduced by sporadic cloud cover, which is not modelled by the disaggregator.

    c Crown Copyright 2014 5

  • Figure 2: Diurnal cycle of driving data for the Manaus FLUXNET site, Brazil, averaged over the daysin 1984.

    c Crown Copyright 2014 6

  • 4.2 Global climatology

    Figure 3 (top left) shows the total evapotranspiration (total ET) over the full JULES offline run, which

    has forcing data at 20 minute resolution created by the UM run (described in Section 3). Figure 3

    (bottom right) shows the anomaly from subtracting this result from a run forced with daily means

    and no disaggregation. Unsurprisingly, given the complete lack of diurnal cycle in this forcing data,

    these anomalies are very large, particularly in the tropics.

    Figure 3 (bottom left) shows the anomaly in total evapotranspiration from a run forced with daily

    means and disaggregated internally in JULES to the model timestep with respect to the run driven

    by the full 20 minute UM output. The event durations have been kept at their default values. It can

    be seen that the use of the disaggregator reduces the anomalies drastically, implying that there is

    a significant advantage to using the disaggregator if only daily forcing data is available. However,

    this should be considered in the context of the anomalies from using 3 hourly forcing data with

    interpolation Figure 3 (top right), which are larger than the anomalies from using the disaggregator.

    Since 3 hourly forcing data with interpolation represents the model diurnal cycle and variability far

    better than this disaggregator can, this implies that the small anomalies in Figure 3 (bottom right)

    are perhaps due to a tuning of the disaggregator parameters to partially compensate for model

    biases.

    There is also some compensation between the contribution of soil ET anomalies and canopy ET

    anomalies towards total ET, for example in South East Asia (Figure 7 and Figure 8 in the Appendix).

    The anomalies in the soil evapotranspiration in the equatorial regions are predominantly negative in

    the run driven by 3 hour means and daily means with no disaggregation, particularly in the tropics,

    and the anomalies in the soil evapotranspiration are predominantly positive.

    Figure 4 shows the mean runoff in the full run (top left) and the anomalies with the respect to

    the full run for the 3 hourly-forced run (top right), the disaggregated run (bottom left) and the daily

    forced run without disaggregation (bottom right). Comparison with Figure 3 (bottom left) shows that

    the regions with large negative anomalies roughly coincide with the regions where the total evapo-

    transpiration anomaly was high, as we would expect since the extra water added to the atmosphere

    through evaporation and transpiration is not available for inclusion in the runoff. Figure 4 also shows

    that the three hourly forced run and daily run have total runoff anomalies with a higher magnitude

    than the disaggregated run, also consistent with the total evapotranspiration results. In some areas,

    the contributions to the total runoff anomaly from surface runoff and sub-surface runoff act to com-

    pensate for eachother to a certain extent (Figure 9 and Figure 10 in the Appendix), such as in the

    region south and east of the Himalayas, where the disaggregated run shows a positive anomaly in

    the surface runoff and a negative anomaly in the sub-surface runoff.

    c Crown Copyright 2014 7

  • 18

    0

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    /day

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    /day

    Figu

    re3:

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    left:

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    c Crown Copyright 2014 8

  • 18

    0

    120

    60

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    180

    60

    3003060

    tota

    lrun

    off

    0.0

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    3.2

    4.8

    6.4

    8.0

    9.6

    mm

    /day

    18

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    60

    060

    120

    180

    60

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    tota

    lrun

    offa

    nom

    aly,

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    y,in

    terp

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    ed

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    9

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    0.

    30.

    00.

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    60.

    9

    mm

    /day

    18

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    lrun

    offa

    nom

    aly,

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    conv

    rain

    =6h

    0.

    9

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    30.

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    60.

    9

    mm

    /day

    18

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    tota

    lrun

    offa

    nom

    aly,

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    ,no

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    /day

    Figu

    re4:

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    left:

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    c Crown Copyright 2014 9

  • 180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =3h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =6h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =12h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =24h

    1.5 1.0 0.5 0.0 0.5 1.0 1.5mm/day

    total evapotranspiration

    Figure 5: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

    4.3 Dependence on the convective rain event duration

    Figure 5 shows the anomalies of the disaggregated runs with respect to the full run for convective

    rain event duration parameters of conv rain

    = 3h, 6h, 12h and 24h. Event duration parameters

    for the other types of precipitation are kept at their default values. The total evapotranspiration

    increases as conv rain

    increases, as we would expect, as larger values of conv rain

    means that the

    rainfall is less intense and lasts longer.

    As the convective rain event duration increases, it is generally the case that soil ET decreases

    and canopy ET increases (Figure 11 and Figure 12 in the Appendix), as expected since the lower

    event durations give more intense rain, which penetrates the canopy better. In some regions, such

    as the Pampas in South America, which is predominantly modelled as C3 grass, soil evaporation

    increases as the convective rain event duration increases. For total ET, soil ET and canopy ET, using

    the disaggregator with the disaggregation of convective rainfall switched off (i.e. conv rain

    = 24h)

    is a significant improvement on using no disaggregation at all, illustrating the importance of the

    disaggregation of the other driving variables. Out of this selection of values for the convective

    rain event duration, conv rain

    = 6h results in the lowest anomalies for total evapotranspiration, soil

    c Crown Copyright 2014 10

  • 180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =3h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =6h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =12h

    180 120 60 0 60 120 180

    60

    30

    0

    30

    60

    disagg, conv rain

    =24h

    0.9 0.6 0.3 0.0 0.3 0.6 0.9mm/day

    total runoff

    Figure 6: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

    evapotranspiration and canopy evapotranspiration in general.

    The runoff also depends strongly on the duration of the convective rain events, shown in Figure

    6. As for evaporation, conv rain

    = 6h appears to perform the best for total runoff out of the values

    of conv rain

    illustrated here. As the duration decreases (and so the rainfall intensity increases),

    the surface runoff increases and sub-surface runoff decreases (Figure 13 and Figure 14 in the

    Appendix), as we would expect. In some regions, such as the Andes and the region south and east

    of the Himalayas for conv rain

    = 3h, the negative anomaly in sub-surface runoff roughly mirrors the

    positive surface runoff anomaly. In other regions, such as the Congo basin for conv rain

    = 12h, there

    is a large negative anomaly in surface runoff, but no correspondingly large anomaly in sub-surface

    runoff, leading to a large negative anomaly in the total runoff, consistent with the large positive

    anomaly in total evapotranspiration, which we saw in Figure 5 (top right).

    In summary, in it generally the case that increasing the convective rain event duration parameter

    results in more of the rainfall being evaporated and less contributing to the runoff, particularly in

    equatorial regions. Evaporation and runoff are very sensitive to this parameter, which should be set

    with care. From the results shown here, using conv rain

    = 6h appears to achieve a good compro-

    c Crown Copyright 2014 11

  • mise for most areas of the world. However, selecting the values of the event durations by tuning the

    evaporation and runoff anomalies could hide biases in the climatology of the model. There is good

    indication that this is happening here, since, as we saw in Section 4.2, using conv rain

    = 6h can

    result in lower anomalies than using 3 hourly forcing data with interpolation.

    5 Summary

    A disaggregation option has been built in to JULES 4.0, which will allow offline runs to be forced

    by daily meteorological data, which is then disaggregated to the model timestep internally using the

    IMOGEN method. This option will be particularly useful for model intercomparisons, where subdaily

    forcing data is not always available. We describe the implementation of this method in detail and

    show an example of the resulting mean diurnal cycle of forcing variables after disaggregation.

    We used UM output to force a set of offline JULES runs, to compare forcing at 20 minute res-

    olution with forcing at three hourly resolution with interpolation and daily forcing with and without

    disaggregation. There was a clear advantage to using the disaggregator when using daily driving

    data. However, the disaggregated run with default parameters also reproduced the mean climate in

    some cases better than the 3-hourly forced run, which implies that these parameter values may be

    partially compensating for biases in the model. Since the results are sensitive to the disaggregation

    parameters, we would encourage the user to consider carefully which values are most appropriate

    for their individual needs and possibly to perform some initial analysis to assess the impact of this

    choice on the region, output variables and timescales they are most interested in.

    An interesting next step would be to investigate the variability of the model output produced using

    the disaggregation option. It would also be useful to see how the disaggregator performs compared

    to high temporal resolution observational forcing data since, for example, there are known issues

    with the model diurnal cycle of precipitation [Stephens et al., 2010, Stratton and Stirling, 2012,

    Stirling and Stratton, 2012].

    There are many ways in which this disaggregator could be improved, which we hope will be

    taken forward by the JULES community. For example, one simple extension would be to allow

    the precipitation event duration parameters to vary spatially, although the simplistic nature of the

    precipitation model (all the rainfall in one event, with constant intensity) means that it is not clear how

    the duration parameter could be derived from observed precipitation, even when these observations

    are available at sufficiently high temporal resolution. Other interesting possibilities would be to

    distribute the daily precipitation amongst the timesteps in that day using a cascade process, or

    allow the user to specify a normalised diurnal profile for each gridbox.

    c Crown Copyright 2014 12

  • 6 Acknowledgements

    Many thanks to Pete Falloon, Martin Best and Andy Wiltshire for reading through various stages of

    the draft and their helpful advice and suggestions. We are also very grateful to Spencer Liddicoat,

    Camilla Mathison and James Manners for their assistance with the Unified Model set-up.

    References

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    Hendry, A. Porson, N. Gedney, L. M. Mercado, S. Sitch, E. Blyth, O. Boucher, P. M. Cox, C. S. B.

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    Spessa, and C. D. Jones. IMOGEN: an intermediate complexity model to evaluate terrestrial

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    Alejandro Bodas-Salcedo, Kentaroh Suzuki, Philip Gabriel, and John Haynes. Dreary state of

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    0148-0227. doi: 10.1029/2010jd014532. URL http://dx.doi.org/10.1029/2010jd014532.

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    http://dx.doi.org/10.1002/qj.1868.

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    http://dx.doi.org/10.1002/qj.991.

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    Morcrette, R. A. Stratton, J. M. Wilkinson, M. R. Willett, N. Bellouin, A. Bodas-Salcedo, M. E.

    Brooks, D. Copsey, P. D. Earnshaw, S. C. Hardiman, C. M. Harris, R. C. Levine, C. MacLachlan,

    J. C. Manners, G. M. Martin, S. F. Milton, M. D. Palmer, M. J. Roberts, J. M. Rodrguez, W. J.

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    c Crown Copyright 2014 14

  • Project framework. Proceedings of the National Academy of Sciences, pages

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    http://dx.doi.org/10.1073/pnas.1312330110.

    G. P. Weedon, S. Gomes, P. Viterbo, W. J. Shuttleworth, E. Blyth, H. Osterle, J. C. Adam,

    N. Bellouin, O. Boucher, and M. Best. Creation of the WATCH forcing data and its use to

    assess global and regional reference crop evaporation over land during the twentieth cen-

    tury. J. Hydrometeor, 12(5):823848, March 2011. doi: 10.1175/2011jhm1369.1. URL

    http://dx.doi.org/10.1175/2011jhm1369.1.

    A Additional plots: global climatology plots and diurnal cycles

    of forcing variables at FLUXNET sites

    c Crown Copyright 2014 15

  • 18

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  • 18

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    c Crown Copyright 2014 17

  • 18

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    c Crown Copyright 2014 18

  • 18

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    c Crown Copyright 2014 19

  • 180 120 60 0 60 120 180

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    soil evapotranspiration

    Figure 11: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

    180 120 60 0 60 120 180

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    Figure 12: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

    c Crown Copyright 2014 20

  • 180 120 60 0 60 120 180

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    Figure 13: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

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    Figure 14: Anomalies with respect to the full result, using disaggregation with convective rain eventdurations of 3 hours (top left), 6 hours (top right), 12 hours (bottom left) and 24 hours (bottom right).

    c Crown Copyright 2014 21

  • Figure 15: Diurnal cycle of driving data for the Hyytiala FLUXNET site, Finland, averaged over thedays in 1984.

    c Crown Copyright 2014 22

  • Figure 16: Diurnal cycle of driving data for the Vielsalm FLUXNET site, Belgium, averaged over thedays in 1984.

    c Crown Copyright 2014 23

  • Figure 17: Diurnal cycle of driving data for the Collelongo FLUXNET site, Italy, averaged over thedays in 1984.

    c Crown Copyright 2014 24

  • Figure 18: Diurnal cycle of driving data for the Harvard Forest FLUXNET site, Massachusetts,averaged over the days in 1984.

    c Crown Copyright 2014 25

  • Figure 19: Diurnal cycle of driving data for the Bondville FLUXNET site, Illinois, averaged over thedays in 1984.

    c Crown Copyright 2014 26

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